Question

In LMN, S is the centroid. If SQ=22 find LS

Answer 1

In this problem we know that SQ is equal to 22, we also know that the angle Q is equal to 90º and all the angles in the middle are the same and will be:

`(360)/(6)=60`

So if we separete each triangle we can find the missing angle that will be equal to 30º like this:

So now we can use the sin law to find the side SN that will be equal to the side LS so:

`\begin{gathered} (22)/(\sin(30))=(SN)/(\sin (90)) \\ SN=(22)/((1)/(2)) \\ SN=44 \end{gathered}`

So the lenght of LS is 44